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10407806390 = 2531208716087
BaseRepresentation
bin10011011000101101…
…01000010110110110
3222212100010100022202
421230112220112312
5132303344301030
64440431224502
7515625615602
oct115426502666
928770110282
1010407806390
114460a31a93
122025678132
13c9b333027
1470a39a502
1540dab4745
hex26c5a85b6

10407806390 has 32 divisors (see below), whose sum is σ = 19348844544. Its totient is φ = 4026647520.

The previous prime is 10407806371. The next prime is 10407806393. The reversal of 10407806390 is 9360870401.

10407806390 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10407806393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 638927 + ... + 655013.

It is an arithmetic number, because the mean of its divisors is an integer number (604651392).

Almost surely, 210407806390 is an apocalyptic number.

10407806390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10407806390 is a deficient number, since it is larger than the sum of its proper divisors (8941038154).

10407806390 is a wasteful number, since it uses less digits than its factorization.

10407806390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18212.

The product of its (nonzero) digits is 36288, while the sum is 38.

The spelling of 10407806390 in words is "ten billion, four hundred seven million, eight hundred six thousand, three hundred ninety".

Divisors: 1 2 5 10 31 62 155 310 2087 4174 10435 16087 20870 32174 64697 80435 129394 160870 323485 498697 646970 997394 2493485 4986970 33573569 67147138 167867845 335735690 1040780639 2081561278 5203903195 10407806390